Topological charge and cooling scales in pure SU(2) lattice gauge theory

摘要

Using Monte?Carlo simulations with overrelaxation, we have equilibrated lattices up to β = 2.928 , size 6 0 4 , for pure SU(2) lattice gauge theory with the Wilson action. We calculate topological charges with the standard cooling method and find that they become more reliable with increasing β values and lattice sizes. Continuum limit estimates of the topological susceptibility χ are obtained of which we favor χ 1 / 4 / T c = 0.643 ( 12 ) , where T c is the SU(2) deconfinement temperature. Differences between cooling length scales in different topological sectors turn out to be too small to be detectable within our statistical errors.